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Precalculus

11/19/22

private plane A to B

From A to B a private plane flies 2.4 hours at 110 mph on a bearing of 35∘35∘. It turns at point B and continues another 22 hours at the same speed, but on a bearing of 125∘125∘ to point C. Round... more

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Precalculus

11/19/22

From the observation deck of the lighthouse at Sasquatch Point

From the observation deck of the lighthouse at Sasquatch Point 50 feet above the surface of Lake Ippizuti, a lifeguard spots a boat out on the lake sailing directly toward the light house. The... more

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Precalculus

11/19/22

The angle of depression of an object refers to the angle whose initial side is a horizonal line above the object and whose terminal side is the line-of-sight to the object below the horizontal.

The angle of depression of an object refers to the angle whose initial side is a horizonal line above the object and whose terminal side is the line-of-sight to the object below the horizontal.From... more

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Precalculus

11/19/22

square based triangle

Consider a square-based straight pyramid. Suppose that the base is a square with sides 1616 in long, and all other edges are 1414 in long. Find an approximate value of the angle formed between the... more

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Precalculus

11/19/22

An alien on a distant planet realizes that using trigonometry and the distance to one of its moons it is possible to calculate the distance to the nearby sun.

An alien on a distant planet realizes that using trigonometry and the distance to one of its moons it is possible to calculate the distance to the nearby sun.Let O be the center of the planet, and... more

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Precalculus

11/19/22

value of segment DE

Using the special triangles, determine the exact value of segment DE. Segments d= BA and e = BC have length 6. Express your answer in simplified radical form.

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Precalculus

11/19/22

height of cloud cover

To measure the height of the cloud cover at an airport, a worker shines a spotlight to the east and upward at an angle of 70° from the horizontal.An observer 798 m away to the east faces towards... more

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Precalculus

11/19/22

Fill in the blank.

A function f is when there exists a positive real number c such that f(t + c) = f(t) for all t in the domain of f.

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Precalculus

11/19/22

Find the exact trigonometric ratios for the angle x whose radian measure is given. (If an answer is undefined, enter UNDEFINED.)

Find the exact trigonometric ratios for the angle x whose radian measure is given. (If an answer is undefined, enter UNDEFINED.) 3𝜋 4 sin(x) = csc(x) = cos(x) = sec(x)... more

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Precalculus

11/19/22

Complete the table, which shows the EXACT values (if possible) of the sine, the cosine and the tangent of some common angles. (If an answer is undefined, enter UNDEFINED.)

Complete the table, which shows the EXACT values (if possible) of the sine, the cosine and the tangent of some common angles. (If an answer is undefined, enter UNDEFINED.) 𝜃 in... more

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Precalculus

11/19/22

Find the exact values of the six trigonometric functions of 𝜃.

Find the exact values of the six trigonometric functions of 𝜃. sin 𝜃 = csc 𝜃 = cos 𝜃 = sec 𝜃 = tan 𝜃 = cot 𝜃 =

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Precalculus

11/19/22

Let P(x, y) be a point on the unit circle such that the radius OP forms an angle of 𝜃 radians with respect to the positive x-axis.

Fill in the blank.Let P(x, y) be a point on the unit circle such that the radius OP forms an angle of 𝜃 radians with respect to the positive x-axis.Write an equation that defines each of the... more

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Precalculus Math Calculus Mathematica

11/19/22

Find the point on the line 2x + 3y + 5 = 0 which is closest to the point (5, 0).

Find the point on the line 2x + 3y + 5 = 0 which is closest to the point (5, 0).Write y as a linear function of the variable x.y = -(2x+5)/3Find the function f(x) that can be used to minimize this... more

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Precalculus

11/18/22

Given f(x)=x2−1 and g(x)=5x−4, find each of the following

ita a b c and d answers

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Precalculus Math Calculus

11/18/22

Find the minimum value of the expression radical(a^2+4)+radical((3-a)^2+16)

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Precalculus

11/18/22

Solve for x. 3600=400(2^10x)

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Precalculus Math Calculus Mathematica

11/18/22

The top and bottom margins of a poster are 2 ft and the side margins are each 4 ft.

The top and bottom margins of a poster are 2 ft and the side margins are each 4 ft. If the area of printed material on the poster is fixed at 382 square ft, find the dimensions of the poster with... more

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Precalculus

11/18/22

If log M/N=5 and log P/N=7, what can you say about the relationship between M and P?

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Precalculus

11/18/22

If log 55=1.74 , what is the value of log_1000 55?

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Precalculus Math Calculus Mathematica

11/18/22

Consider the function. ƒ(x) = √(25 - x^2) on the closed interval [-5, 5]. The curve y = f(x) is drawn on the figure below (blue). A point (x, y) is on the curve.

Consider the function.ƒ(x) = √(25 - x2) on the closed interval [-5, 5].The curve y = f(x) is drawn on the figure below (blue). A point (x, y) is on the curve.The curve y = f(x) is the upper... more

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Precalculus Math Calculus Mathematica

11/18/22

Consider the function. ƒ(x) = 12 - x^2 on the closed interval [0, √12]. The curve y = f(x) is drawn in the figure below (blue). A point (x, y) is on the curve.

Consider the function.ƒ(x) = 12 - x2 on the closed interval [0, √12].The curve y = f(x) is drawn in the figure below (blue). A point (x, y) is on the curve.Write a function to compute the distance... more

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Precalculus

11/18/22

Write the equation of the circle centered at ( − 2 , 8 ) with radius 8.

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Precalculus Math Calculus

11/17/22

The lengths of two sides of a triangle are 10 and 17. The length of the third side as well as the area of the triangle are integers. What is the sum of all possible lengths of the third side?

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Precalculus Math Calculus

11/17/22

the perimeter of a triangle is 2.99 and the length of the longer side is an integer. What is the length of the longer side?

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Precalculus Algebra 1 Calculus

11/17/22

The count in a bacteria culture was 200 after 15 minutes and 1200 after 35 minutes. Assuming the count grows exponentially,

What was the initial size of the culture? Find the doubling period. Find the population after 80 minutes. When will the population reach 13000

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private plane A to B

From the observation deck of the lighthouse at Sasquatch Point

The angle of depression of an object refers to the angle whose initial side is a horizonal line above the object and whose terminal side is the line-of-sight to the object below the horizontal.

square based triangle

An alien on a distant planet realizes that using trigonometry and the distance to one of its moons it is possible to calculate the distance to the nearby sun.

value of segment DE

height of cloud cover

Fill in the blank.

Find the exact trigonometric ratios for the angle x whose radian measure is given. (If an answer is undefined, enter UNDEFINED.)

Complete the table, which shows the EXACT values (if possible) of the sine, the cosine and the tangent of some common angles. (If an answer is undefined, enter UNDEFINED.)

Find the exact values of the six trigonometric functions of 𝜃.

Let P(x, y) be a point on the unit circle such that the radius OP forms an angle of 𝜃 radians with respect to the positive x-axis.

Find the point on the line 2x + 3y + 5 = 0 which is closest to the point (5, 0).

Given f(x)=x2−1 and g(x)=5x−4, find each of the following

Find the minimum value of the expression radical(a^2+4)+radical((3-a)^2+16)

Solve for x. 3600=400(2^10x)

The top and bottom margins of a poster are 2 ft and the side margins are each 4 ft.

If log M/N=5 and log P/N=7, what can you say about the relationship between M and P?

If log 55=1.74 , what is the value of log_1000 55?

Consider the function. ƒ(x) = √(25 - x^2) on the closed interval [-5, 5]. The curve y = f(x) is drawn on the figure below (blue). A point (x, y) is on the curve.

Consider the function. ƒ(x) = 12 - x^2 on the closed interval [0, √12]. The curve y = f(x) is drawn in the figure below (blue). A point (x, y) is on the curve.

Write the equation of the circle centered at ( − 2 , 8 ) with radius 8.

The lengths of two sides of a triangle are 10 and 17. The length of the third side as well as the area of the triangle are integers. What is the sum of all possible lengths of the third side?

the perimeter of a triangle is 2.99 and the length of the longer side is an integer. What is the length of the longer side?

The count in a bacteria culture was 200 after 15 minutes and 1200 after 35 minutes. Assuming the count grows exponentially,

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